L-concept analysis with positive and negative attributes
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33160147" target="_blank" >RIV/61989592:15310/16:33160147 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0020025516302419" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0020025516302419</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ins.2016.04.012" target="_blank" >10.1016/j.ins.2016.04.012</a>
Alternative languages
Result language
angličtina
Original language name
L-concept analysis with positive and negative attributes
Original language description
We describe an extension of formal fuzzy concept analysis allowing a user to choose which attributes are viewed as positive and which are viewed as negative. The two sets are then handled using a combination of previously studied antitone concept-forming operators and isotone concept-forming operators, respectively. The two main outputs of formal concept analysis, namely concept lattices and attribute implications, in the setting of positive and negative attributes are presented. An analogy of the main theorem of concept lattices and a relationship between the new concept lattice and the previously studied concept lattices is showed. We introduce basic syntactic and semantic notions for attribute implications called fuzzy containment implications. We consider two settings, one where the sets of positive and negative attributes are crisp sets, and a generalization, where the two sets are fuzzy sets.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
IN - Informatics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA15-17899S" target="_blank" >GA15-17899S: Decompositions of Matrices with Boolean and Ordinal Data: Theory and Algorithms</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Information Sciences
ISSN
0020-0255
e-ISSN
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Volume of the periodical
360
Issue of the periodical within the volume
SEP
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
16
Pages from-to
96-111
UT code for WoS article
000377835100006
EID of the result in the Scopus database
2-s2.0-84966283593